1. Suppose the quotient resulting from dividing one polynomial by another is
r^2 -6r + 9 -1/r-3. What two polynomials were divided?

2.Suppose an object moves in a straight line so that after t seconds, it is t3 + t2 + 6t feet from its starting point. Find the distance the object travels between the times t = 2 and t = x.

2. Originally Posted by 14041471
[snip]
2.Suppose an object moves in a straight line so that after t seconds, it is t3 + t2 + 6t feet from its starting point. Find the distance the object travels between the times t = 2 and t = x.
The cubic is increasing for t > 0 therefore the distance is equal to (x^3 + x^2 + 6x) - (2^3 + 2^2 + 6(2)) = ....

By the way, it's very poor of the question to use the pronumeral x in this way ....

3. Originally Posted by 14041471
1. Suppose the quotient resulting from dividing one polynomial by another is
r^2 -6r + 9 -1/r-3. What two polynomials were divided?
[snip]
The simplest solution is found from

$r^2 - 6r + 9 - \frac{1}{r - 3} = \frac{(r-3)(r^2 - 6r + 9)}{r-3} - \frac{1}{r-3} = \frac{(r-3)(r^2 - 6r + 9) - 1}{r-3} = \, ....$

4. ## Thank you

(x^3 + x^2 + 6x) - (2^3 + 2^2 + 6(2)) < how should i proceed with this question?

5. ## is this right

i noticed in you reply to question 1, you wrote in inicial question as
r^2 -6r + 9 -1/r^3... the denominator is r-3 not r^3

6. Originally Posted by 14041471
i noticed in you reply to question 1, you wrote in inicial question as
r^2 -6r + 9 -1/r^3... the denominator is r-3 not r^3
The reply has been edited. The correction is simple to make. Now you need to simplify ....

7. Originally Posted by 14041471